The least measurable can be strongly compact and indestructible

DOI10.2307/2586658zbMath0926.03067OpenAlexW2119285455MaRDI QIDQ4254689

Arthur W. Apter, M. B. Gitik

Publication date: 29 November 1999

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2586658

zbMATH Keywords

consistencystrongly compact cardinalmeasurable cardinalsupercompact cardinalfully Laver indestructible

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55)

Related Items

Exactly controlling the non-supercompact strongly compact cardinals, On the indestructibility aspects of identity crisis, Mixed Levels of Indestructibility, INDESTRUCTIBILITY WHEN THE FIRST TWO MEASURABLE CARDINALS ARE STRONGLY COMPACT, The least strongly compact can be the least strong and indestructible, Patterns of compact cardinals, Supercompactness and level by level equivalence are compatible with indestructibility for strong compactness, Indestructible strong compactness but not supercompactness, The lottery preparation, Universal indestructibility for degrees of supercompactness and strongly compact cardinals, On the existence of a possibility distribution function, Indestructible Strong Compactness and Level by Level Equivalence with No Large Cardinal Restrictions, Indestructibility and destructible measurable cardinals, Superstrong and other large cardinals are never Laver indestructible, Forcing the Least Measurable to Violate GCH, Indestructibility under adding Cohen subsets and level by level equivalence, Indestructible strong compactness and level by level inequivalence

Cites Work

• Changing cofinalities and the nonstationary ideal
• On the least strongly compact cardinal
• Making the supercompactness of \(\nu\) indestructible under \(\nu\)-directed closed forcing
• Patterns of compact cardinals
• How large is the first strongly compact cardinal? or a study on identity crises